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Finding the Fourth Proportional to 313,287.46, 469,545.90 and 123,557.38

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Solution

The fourth proportional to 313,287.46, 469,545.90 and 123,557.38 is: 185,184.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,287.46 : 469,545.90 = 123,557.38 : x
  2. Step 2: Convert to fraction form
    313,287.46/469,545.90 = 123,557.38/x
  3. Step 3: Cross multiply
    313,287.46x = 469,545.90 × 123,557.38
  4. Step 4: Simplify right side
    313,287.46x = 58,015,861,193.74
  5. Step 5: Solve for x
    x = 58,015,861,193.74/313,287.46
  6. Step 6: Final answer
    x = 185,184.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.